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Finding the Fourth Proportional to 5,744.76, 8,611.04 and 3,274.26

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Solution

The fourth proportional to 5,744.76, 8,611.04 and 3,274.26 is: 4,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.76 : 8,611.04 = 3,274.26 : x
  2. Step 2: Convert to fraction form
    5,744.76/8,611.04 = 3,274.26/x
  3. Step 3: Cross multiply
    5,744.76x = 8,611.04 × 3,274.26
  4. Step 4: Simplify right side
    5,744.76x = 28,194,759.72
  5. Step 5: Solve for x
    x = 28,194,759.72/5,744.76
  6. Step 6: Final answer
    x = 4,907.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.